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145345060536 = 233132261713693
BaseRepresentation
bin1000011101011100111…
…1011001111010111000
3111220011100101002101020
42013113033121322320
54340131313414121
6150434241022440
713333533426114
oct2072717317270
9456140332336
10145345060536
1156705552245
1224203924a20
1310924067700
14706b472744
153baa0d81c6
hex21d73d9eb8

145345060536 has 96 divisors (see below), whose sum is σ = 393642794160. Its totient is φ = 44701203456.

The previous prime is 145345060507. The next prime is 145345060583. The reversal of 145345060536 is 635060543541.

It is a super-2 number, since 2×1453450605362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10607706 + ... + 10621398.

Almost surely, 2145345060536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145345060536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196821397080).

145345060536 is an abundant number, since it is smaller than the sum of its proper divisors (248297733624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145345060536 is a wasteful number, since it uses less digits than its factorization.

145345060536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16345 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 145345060536 in words is "one hundred forty-five billion, three hundred forty-five million, sixty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2617 4056 5234 7851 10468 13693 15702 20936 27386 31404 34021 41079 54772 62808 68042 82158 102063 109544 136084 164316 178009 204126 272168 328632 356018 408252 442273 534027 712036 816504 884546 1068054 1326819 1424072 1769092 2136108 2314117 2653638 3538184 4272216 4628234 5307276 6942351 9256468 10614552 13884702 18512936 27769404 35834581 55538808 71669162 107503743 143338324 215007486 286676648 430014972 465849553 860029944 931699106 1397548659 1863398212 2795097318 3726796424 5590194636 6056044189 11180389272 12112088378 18168132567 24224176756 36336265134 48448353512 72672530268 145345060536